StatisticsHERE’S THE MATHS

Your child is learning to interpret pie charts and use them to solve problems. A pie chart is a circular chart divided into sectors. Each sector shows the relative size of each value. A key explains what each sector represents. When the total number is known, the exact numbers for each sector can be calculated. Pie charts are useful for comparison.

ACTIVITY

What to do Choose one of the papers without looking. This number represents the number

of pupils in the school. Use this number to find out how many pupils prefer each of the sports. One person calculates the numbers for First Primary School and one for Last Primary

School and then writes three questions for the other person to answer. Repeat with a different starting number.Variation Try larger starting numbers but make sure they are divisible by both 8 and 10.

QUESTIONS TO ASK

Year 6 Maths Newsletter 7

Date: ______________________ Name: ______________________

4 1

Insert school logo

here

What is a pie chart?

Why is a key necessary for a pie

chart? (to explain what

each segment

If a pie chart is divided

into 8 sectors, what is the angle at the centre

of each

If a pie chart is divided

into 20 sectors, what percentage

is each

If a pie chart is divided into

12 sectors, what fraction do 2 sectors

represent? (16)

MATHS TOPICSThese are the maths topics your child will be working on during the next three weeks: Fractions Ratio and proportion Statistics

KEY MATHEMATICAL IDEASDuring these three weeks your child will be learning to: add and subtract fractions with different denominators and mixed numbers, using

the concept of equivalent fractions recognise and solve proportion problems interpret pie charts and use them to solve problems.

TIPS FOR GOOD HOMEWORK HABITSBe positive about maths even if you didn’t like it at school. Let your child explain to you the different strategies and methods that they are learning. Avoid teaching your child methods you used at school as it may confuse them.

You will need: 4 pieces of paper,

marked 80, 120, 200, 320

pencil and paper

FractionsHERE’S THE MATHS

Your child is practising adding and subtracting fractions with different denominators and mixed numbers, using the concept of equivalent fractions. In order to add or subtract fractions, they needs to be changed to an equivalent fraction with the same denominator,

e.g. 13

+ 38

= 824

+ 924

= 1724

. Answers are best expressed in their simplest form,

e.g. an answer of 68

should be simplified to 34

.

ACTIVITY

1

14

2

45

3

38

4

78

5

18

6

35

7

12

8

58

9

15

10

34

11

25

12

32

What to do One person shuffles the cards, and turns over 3

cards. In the table above, they find the fraction represented by the cards. They add the fractions by finding a common denominator and simplifying the answer if possible.

The second person checks the addition. Change roles. Repeat twice more. Keep a note of all 6 answers. Race one another to put the fractions in increasing order.

QUESTIONS TO ASK

2 3

You will need: pack of playing cards with

the Kings removed (Jack represents 11, Queen 12)

Simplify 945 . (

15 )

What is an improper fraction? (fraction with the numerator bigger than the denominator)

Change 144 to a mixed

number in its simplest form. (

Ratio and proportionHERE’S THE MATHS

Your child is learning to recognise and solve proportion problems. Proportion compares a part to the whole and is expressed as a fraction, decimal or percentage, e.g. in a ball

pool, 14

(or 25%) of the balls are red. This can be expressed as ‘1 in 4 balls is red’ or

‘1 in every 4 balls is red’.

ACTIVITY

Fleeces made in a factory

14000

2320

3480

4560

5160

6800

75600

88000

91600

10720

112400

12640

Dice roll 1 2 3 4 5 6

Proportion of blue fleeces

1 in every 8

1 in every 4

3 in every 8

1 in every 2

5 in every 8

7 in every 8

What to do The challenge is to buy as many blue

fleeces as possible. Take turns to turn over a card to decide

on the number of fleeces in production. Roll the dice to find out the proportion

of blue fleeces being made. Each person keeps a running total of their

blue fleeces. Declare the winner after 10 minutes.

QUESTIONS TO ASK

4 1

You will need: pencil and paper pack of playing cards with the

Kings removed (Jack represents 11, Queen 12)

1–6 dice

In the manufacture of sweets, the proportions of flavours are as follows: 4 in every 10 sweets are orange, 3 in every 10 sweets are lemon,

2 in every 10 sweets are strawberry and 1 in every 10 sweets is lime. …

… How many of each flavour are there if there are 50, 300 (600, 7000,